Details

Time bar (total: 2.5s)

sample21.0ms

Algorithm
intervals
Results
7.0ms348×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433
done1433

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
6.0b
(* t (* y (- x z)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
29.0ms
(* y (- x z))
37.0ms
(* t (* y (- x z)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(* y (- x z))
53.0ms
(* t (* y (- x z)))

simplify67.0ms

Counts
118 → 118
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04021084
11572663
25001645
done5001645

prune126.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* t (* x y)) (* t (* (- z) y)))
6.2b
(* t (* x y))
6.3b
(* t (* (- z) y))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×distribute-lft-neg-out expm1-log1p-u distribute-rgt-neg-out log1p-expm1-u
2×associate-*r* *-commutative
1×+-commutative fma-def flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 58
Calls
3 calls:
19.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
15.0ms
(* t (* x y))
18.0ms
(* t (* (- z) y))

series121.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(+ (* t (* x y)) (* t (* (- z) y)))
26.0ms
(* t (* x y))
28.0ms
(* t (* (- z) y))

simplify46.0ms

Counts
67 → 67
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0267305
11118259
25001253
done5001253

prune148.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

6.3b
(* (- x z) (* t y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/
1×expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
33.0ms
(* (- x z) (* t y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (- x z) (* t y))

simplify60.0ms

Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0152123
1525100
22534100
35001100
done5001100

prune69.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

6.3b
(* t (* (- z) y))
12.0b
(cbrt (* t (* x y)))
12.0b
(cbrt (* t (* x y)))
12.0b
(cbrt (* t (* x y)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
1×distribute-lft-neg-out associate-*r* *-commutative distribute-rgt-neg-out
Counts
4 → 54
Calls
4 calls:
18.0ms
(* t (* (- z) y))
10.0ms
(cbrt (* t (* x y)))
10.0ms
(cbrt (* t (* x y)))
13.0ms
(cbrt (* t (* x y)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* t (* (- z) y))
92.0ms
(cbrt (* t (* x y)))
92.0ms
(cbrt (* t (* x y)))
91.0ms
(cbrt (* t (* x y)))

simplify96.0ms

Counts
66 → 66
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0211339
1713303
23583294
35001279
done5001279

prune176.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes223.0ms

Accuracy

56.8% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 7.2b

bsearch76.0ms

Steps
ItersRangePoint
10
3.95017227527934e+61
1.3607940284996444e+72
3.7745607630727176e+62
8
-6.082360900299769e-114
-9.557685841085681e-119
-5.7788705600514666e-114

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04831
15631
26031
36031
done6031

end0.0ms

sample581.0ms

Algorithm
intervals
Results
241.0ms10699×body80valid